Boundary layer flow of dusty fluid over a radiating stretching surface embedded in a thermally stratified porous medium in the presence of uniform heat source

Abstract

Numerical investigation for the effect of thermal stratification on MHD flow and heat transfer of dusty fluid over a vertical stretching sheet embedded in a thermally stratified porous medium in the presence of uniform heat source and thermal radiation. The governing equations for the problem were reduced in to dimensionless ordinary differential equations using suitable similarity transformations. The transformed nonlinear ordinary differential equations are numerically solved by applying efficient RungeKutta Fehlberg-45 Method with shooting technique. The effects of various flow controlling parameters such as Prandtl number, heat source/sink parameter, fluid particle interaction parameter, heat source parameter, radiation parameter on velocity and temperature distributions of both fluid and dust phases are depicted graphically. Finally, the numerical results are compared and found to be in good agreement with previously published results under special cases. The results indicate that the fluid phase velocity is always greater than that of the particle phase and thermal stratification significantly affects the surface shear stress as well as the surface heat transfer.

Effects of Thermal Radiation and Viscous Dissipation on Powell-Eyring Nanofluid with Variable Thickness

“…Numerical solution for steady boundary layer flow of dusty fluid over a radiating stretching surface embedded in a thermally stratified porous medium in the presence of uniform heat source was studied by Gireesha et.al. [20]. Recently, Ramzan et.al.…”

“…The equations (16) - (18) together with the boundary conditions (19) - (20) are integrated numerically by using Runge-Kutta-Gill method along with the shooting technique. This method is concisely outlined as below: (Ralston and Wilf [23]).…”

Influence of Radiation on Magneto-hydrodynamics Flow Over an Exponentially Stretching Sheet Embedded in a Thermally Stratified Porous Medium in the Presence of Heat Source

“…Nandeppanavar et al [18] investigated heat transfer through a porous medium over a stretching sheet with effect of viscous dissipation. Gireesha et al [19], worked on boundary layer flow of dusty fluid over a radiating stretching surface embedded in a thermally stratified porous medium in the presence of uniform heat source. They reported that both temperature and velocity profiles decreases with increase in thermal stratification parameter In this work, we extended the work of Mukhopadhyay [13] by considering the influence of radiation on MHD boundary layer flow over an exponentially stretching sheet embedded in a thermally stratified porous medium with heat source and suction/blowing.…”

Effect of non-uniform heat source/sink on MHD boundary layer flow and melting heat transfer of Williamson nanofluid in porous medium

“…In many theoretical studies on heat transfer and fluid flow problems, the internal heat generation/absorption is assumed to be constant, space dependent or temperature dependent (non-uniform heat source/sink). The following researchers studied the effect of space- and temperature-dependent internal heat generation/absorption on the fluid flow problems recently (Manjunatha et al , 2014; Gireesha et al , 2017; Mabood et al , 2016).…”